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Finding the Fourth Proportional to 14,489, 19,995.82 and 8,201.40

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Solution

The fourth proportional to 14,489, 19,995.82 and 8,201.40 is: 11,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489 : 19,995.82 = 8,201.40 : x
  2. Step 2: Convert to fraction form
    14,489/19,995.82 = 8,201.40/x
  3. Step 3: Cross multiply
    14,489x = 19,995.82 × 8,201.40
  4. Step 4: Simplify right side
    14,489x = 163,993,718.15
  5. Step 5: Solve for x
    x = 163,993,718.15/14,489
  6. Step 6: Final answer
    x = 11,318.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.